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Finding the Third Proportional to 10,580 and 14,894

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Solution

The third proportional to 10,580 and 14,894 is: 20,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 14,894 = 14,894 : x
  2. Step 2: Convert to fraction form
    10,580/14,894 = 14,894/x
  3. Step 3: Cross multiply
    10,580x = 14,894 × 14,894
  4. Step 4: Simplify right side
    10,580x = 221,831,236
  5. Step 5: Solve for x
    x = 221,831,236/10,580
  6. Step 6: Final answer
    x = 20,967.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.